scholarly journals First SU(3) lattice QCD study of the gluon propagator in maximally Abelian gauge: off-diagonal gluon mass generation and infrared Abelian dominance

2013 ◽  
Author(s):  
Shinya Gongyo ◽  
Hideo Suganuma ◽  
Takumi Iritani
Keyword(s):  
Lattice Qcd ◽  
Gluon Propagator ◽  
Mass Generation ◽  
Abelian Gauge ◽  
Gluon Mass

scholarly journals LATTICE QCD GLUON PROPAGATORS NEAR TRANSITION TEMPERATURE

2012 ◽  
Vol 27 (09) ◽  
pp. 1250050 ◽  
Author(s):  
V. G. BORNYAKOV ◽  
V. K. MITRJUSHKIN
Keyword(s):  
Transition Temperature ◽  
Lattice Qcd ◽  
Finite Volume ◽  
Momentum Space ◽  
Transition Point ◽  
Gluon Propagator ◽  
Landau Gauge ◽  
Volume Dependence ◽  
Gauge Fixing ◽  
Two Phases

Landau gauge gluon propagators are studied numerically in the SU (3) gluodynamics as well as in the full QCD with the number of flavors nF = 2 using efficient gauge fixing technique. We compare these propagators at temperatures very close to the transition point in two phases: confinement and deconfinement. The electric mass mE has been determined from the momentum space longitudinal gluon propagator. Gribov copy effects are found to be rather strong in the gluodynamics, while in the full QCD case they are weak ("Gribov noise"). Also we analyze finite volume dependence of the transverse and longitudinal propagators.

scholarly journals Gluon mass generation without seagull divergences

2010 ◽  
Vol 81 (3) ◽  
Author(s):  
Arlene C. Aguilar ◽  
Joannis Papavassiliou
Keyword(s):  
Mass Generation ◽  
Gluon Mass

scholarly journals MASS GENERATION FOR NON-ABELIAN GAUGE FIELDS WITHOUT SCALARS

1995 ◽  
Vol 10 (25) ◽  
pp. 3581-3592
Author(s):  
DIDIER CAENEPEEL ◽  
MARTIN LEBLANC
Keyword(s):  
Type Theory ◽  
Functional Integration ◽  
Higgs Mechanism ◽  
Coupling Constants ◽  
Fine Tuning ◽  
Effective Theory ◽  
Gauge Fields ◽  
Mass Generation ◽  
Abelian Gauge

We present an alternative to the Higgs mechanism for generating masses for non-Abelian gauge fields in 3+1 dimensions. The initial Lagrangian is composed of a fermion with current-current and dipole-dipole type self-interactions minimally coupled to non-Abelian gauge fields. The mass generation occurs when we perform a fermionic functional integration. We show that by fine-tuning the coupling constants, the effective theory may be written as a BΛF type theory describing massive non-Abelian gauge fields.

scholarly journals Strong randomness of off-diagonal gluon phases and off-diagonal gluon mass in the maximally abelian gauge in QCD

2002 ◽  
Vol 106-107 ◽  
pp. 679-681 ◽  
Author(s):  
H. Suganuma ◽  
K. Amemiya ◽  
H. Ichie ◽  
N. Ishii ◽  
H. Matsufuru ◽  
...  
Keyword(s):  
Abelian Gauge ◽  
Gluon Mass

scholarly journals ABELIAN PROJECTION AND STUDIES OF GAUGE-VARIANT QUANTITIES IN THE LATTICE QCD WITHOUT GAUGE FIXING

1996 ◽  
Vol 11 (13) ◽  
pp. 1081-1093 ◽  
Author(s):  
SERGEI V. SHABANOV
Keyword(s):  
Lattice Qcd ◽  
Continuum Limit ◽  
Gluon Propagator ◽  
Lorentz Invariance ◽  
Gauge Condition ◽  
Gauge Fields ◽  
Gauge Invariant ◽  
Dynamical Reduction ◽  
Gauge Fixing ◽  
The Continuum

We suggest a new (dynamical) Abelian projection of the lattice QCD. It contains no gauge condition imposed on gauge fields so that Gribov copying is avoided. Configurations of gauge fields that turn into monopoles in the Abelian projection can be classified in a gauge-invariant way. In the continuum limit, the theory respects the Lorentz invariance. A similar dynamical reduction of the gauge symmetry is proposed for studies of gauge-variant correlators (like a gluon propagator) in the lattice QCD. Though the procedure is harder for numerical simulations, it is free of gauge-fixing artifacts, like the Gribov horizon and copies.

The Higgs boson: A major discovery and a problem

2019 ◽  
pp. 195-208
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Higgs Boson ◽  
Particle Physics ◽  
Gauge Theories ◽  
Higgs Mechanism ◽  
Higgs Model ◽  
Fermion Mass ◽  
Simplified Models ◽  
Mass Generation ◽  
Abelian Gauge ◽  
The Standard Model

Chapter 12 describes the main steps in the construction of the electroweak component of the Standard Model of particle physics. The classical Abelian Landau–Ginzburg–Higgs mechanism is recalled, first introduced in the macroscopic description of a superconductor in a magnetic field. It is based on a combination of spontaneous symmetry breaking and gauge invariance. It can be generalized to non–Abelian gauge theories, quantized and renormalized. The recent discovery of the predicted Higgs boson has been the last confirmation of the validity of the model. Some aspects of the Higgs model and its renormalization group (RG) properties are illustrated by simplified models, a self–interacting Higgs model with the triviality issue, and the Gross–Neveu–Yukawa model with discrete chiral symmetry, which illustrates spontaneous fermion mass generation and possible RG flows.

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